DISCRETIZED BRST TRANSFORMATIONS AND QUANTUM MECHANICAL POTENTIAL OF A FREE PARTICLE ON SD-Reference-Cited by-同舟云学术

DISCRETIZED BRST TRANSFORMATIONS AND QUANTUM MECHANICAL POTENTIAL OF A FREE PARTICLE ON SD

Published:2005-03-21 Issue:09 Volume:20 Page:699-706
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

SHIMIZU KATSUTARO¹

Affiliation:

1. Center for Mathematical Sciences, The University of Aizu, Aizu-Wakamatsu 965-8580, Fukushima, Japan

Abstract

We evaluated a quantum mechanical potential of a free particle on D-dimensional sphere. This system has the second-class constraints. We change the second-class constraints into first-class ones with new canonical variables. A BRST transformation is induced by the first-class constraints and is discretized. A discretized BRST invariant path integral is considered and the quantum mechanical potential is evaluated as R/12.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732305016531

Reference4 articles.

1. Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles

2. BRST INVARIANCE OF A DISCRETIZED PATH INTEGRAL AND OPERATOR ORDERING OF THE WHEELER-DEWITT EQUATION IN A ONE-VARIABLE MINISUPERSPACE MODEL

3. Dirac versus Reduced Quantization and Operator Ordering

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